3:45PM: BoijSoderberg TheoryNic FordGiven a graded module over a polynomial ring, we can construct its Betti table by taking a minimal free resolution and counting the number of generators in each degree at each step of the resolution. In general it's very difficult to tell whether a table of nonnegative integers is actually the Betti table of a module, but some surprising recent results give an answer to a slightly weaker question: the BoijSoderberg conjectures (now theorems) give a complete classification of Betti tables of graded modules up multiplication by a rational number. This talk will give an introduction to this elegant collection of ideas and, time permitting, describe an attempt to generalize the story to the equivariant setting.

5:00PM: 3264 & All ThatStudent seminarStudent seminar on intersection theory  first meeting
